Finding the Third Proportional to 57,508 and 123,764

Step by Step Solution

1. Step 1: Write the proportion equation
   57,508 : 123,764 = 123,764 : x
2. Step 2: Convert to fraction form
   57,508/123,764 = 123,764/x
3. Step 3: Cross multiply
   57,508x = 123,764 × 123,764
4. Step 4: Simplify right side
   57,508x = 15,317,527,696
5. Step 5: Solve for x
   x = 15,317,527,696/57,508
6. Step 6: Final answer
   x = 266,354.73